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Finding the Third Proportional to 325,622 and 500,801

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Solution

The third proportional to 325,622 and 500,801 is: 770,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,622 : 500,801 = 500,801 : x
  2. Step 2: Convert to fraction form
    325,622/500,801 = 500,801/x
  3. Step 3: Cross multiply
    325,622x = 500,801 × 500,801
  4. Step 4: Simplify right side
    325,622x = 250,801,641,601
  5. Step 5: Solve for x
    x = 250,801,641,601/325,622
  6. Step 6: Final answer
    x = 770,223.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.